{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-01-06T12:45:20.681250Z",
     "start_time": "2025-01-06T12:45:20.101171Z"
    }
   },
   "source": "import matplotlib.pyplot as plt\n",
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T12:46:20.849712Z",
     "start_time": "2025-01-06T12:46:20.699246Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x = [1, 2, 3, 4, 5]\n",
    "y = [2, 4, 6, 8, 10]\n",
    "\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ],
   "id": "e0961768d98511e3",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T12:49:47.014658Z",
     "start_time": "2025-01-06T12:49:46.933608Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot(x, y, linewidth=2,  linestyle='--', color='red')\n",
    "plt.show()"
   ],
   "id": "38d7a521063ddfc1",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:08:59.980540Z",
     "start_time": "2025-01-06T13:08:59.891378Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x = [1, 2, 3, 4, 5]\n",
    "y = [2, 4, 6, 8, 10]\n",
    "plt.scatter(x, y, color='red')\n",
    "plt.show()"
   ],
   "id": "c050d4cc4fcff74e",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAGdCAYAAACyzRGfAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAHdhJREFUeJzt3XlwXlX9P/BPmtJQkYRFlkBDWyql7O4MS79QKDBYGRZBNmXVUaeO1J3+ociABpVB6ohlFRiWYaDTVgShstiyM2XTwii2WOlCEceBpBQImD6/Obe/1KaktGmf5yTPk9dr5pI89znJPYeT5r5zzrn31pVKpVIAAGQyKNeBAAAS4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICsBkc/s3LlynjllVdiyy23jLq6ur6uDgCwAdI9S5cvXx477bRTDBo0qLrCRwoeLS0tfV0NAGAjLF68OIYNG1Zd4SONeHRVvrGxsa+rAwBsgPb29mLwoOs8XlXho2uqJQUP4QMAqsuGLJmw4BQAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AIKt+d5MxAKBCOjsjHn44YtmyiObmiLFjI+rro9+PfDz00ENxzDHHFA+OSXcxmzlz5vseLPOjH/0ompubY+jQoTF+/PiYP39+OesMAPTW9OkRI0ZEjBsXcdppqz6m12l/fw8fK1asiP322y+uuOKKHt//+c9/Hr/61a/iyiuvjCeffDK22GKLOOqoo+Kdd94pR30BgN5KAePEEyOWLOm+f+nSVfszB5C6Uhqq2NgvrquLGTNmxHHHHVe8Tt8qjYh85zvfie9+97vFvra2tthhhx3ihhtuiFNOOWWDHkzT1NRUfJ1nuwBAGaZa0gjH2sGjS3oWS3oK7cKFmzQF05vzd1kXnC5cuDBeffXVYqqlS6rI/vvvH48//niPX9PR0VFUeM0NACiTtMZjXcEjSWMQixevKpdJWcNHCh5JGulYU3rd9d7aWltbi4DStaXH8QIAZZIWl5azXC1cajt58uRiiKZrW5zSFwBQHumqlnKW62/hY8cddyw+/utf/+q2P73uem9tDQ0NxdzQmhsAUCbpctq0piOt7ehJ2p9mHVK5agwfI0eOLELGAw88sHpfWsORrno54IADynkoAGBDpEWkU6as+nztANL1+vLLs97vo9fh480334znnnuu2LoWmabPFy1aVFz9MmnSpLj44ovjzjvvjHnz5sUZZ5xRXAHTdUUMAJDZCSdETJsWsfPO3fenEZG0P73fny+1nT17doxLNyZZy5lnnllcTpu+3QUXXBBXX311vPHGG3HwwQfHb37zmxg9evQGfX+X2gJA9d3htDfn7026z0clCB8AUH367D4fAADrI3wAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQPWHj+XLl8ekSZNi+PDhMXTo0DjwwANj7ty5lTgUAFBlKhI+vvzlL8d9990XN910U8ybNy+OPPLIGD9+fCxdurQShwMAqkhdqVQqlfMbvv3227HlllvG7373u5gwYcLq/Z/85Cfj6KOPjosvvvgDv769vT2ampqira0tGhsby1k1AKBCenP+Hlzug//3v/+Nzs7O2HzzzbvtT9MvjzzyyPvKd3R0FNualQcAalfZp13SqMcBBxwQF110UbzyyitFELn55pvj8ccfj2XLlr2vfGtra5GUuraWlpZyVwkAqOVpl+Sll16Kc845Jx566KGor6+PT3ziEzF69Oh4+umn469//et6Rz5SADHtAgDVo0+nXZJRo0bFnDlzYsWKFUVlmpub4+STT45dd931fWUbGhqKDQAYGCp6n48tttiiCB6vv/56zJo1K4499thKHg4AqAIVGflIQSPN5uy+++6xYMGC+N73vhdjxoyJs88+uxKHAwAG+shHmu+ZOHFiETjOOOOMOPjgg4tAstlmm1XicADAQF9wuinc5wMAqk9vzt+e7QIAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQ3OezgAqlZnZ8TDD0csWxbR3BwxdmxEfX1f14oqVPaRj87OzvjhD38YI0eOjKFDh8aoUaPioosuilKpVO5DAZDL9OkRI0ZEjBsXcdppqz6m12k/9PXIx89+9rOYOnVq3HjjjbHXXnvFU089FWeffXY0NTXFN7/5zXIfDoBKSwHjxBMj1v4jcunSVfunTYs44YS+qh1VqK5U5iGJz33uc7HDDjvEddddt3rf5z//+WIU5Oabb17v17e3txdBpa2tLRobG8tZNQA2ZqoljXAsWdLz+3V1EcOGRSxcaApmgGvvxfm77NMuBx54YDzwwAPx97//vXj95z//OR555JE4+uijeyzf0dFRVHjNDYB+Iq3xWFfwSNLfr4sXryoHfTXtcv755xcBYsyYMVFfX1+sAfnJT34Sp59+eo/lW1tb48ILLyx3NQAoh7S4tJzloBIjH7fffnvccsstceutt8YzzzxTrP249NJLi489mTx5cjFE07UtTgkagP4hXdVSznJQiTUfLS0txejHxIkTV++7+OKLi/Uef/vb39b79dZ8APTDNR9pcWlPpwtrPugPaz7eeuutGDSo+7dN0y8rV64s96EAqLQUKKZM+V/QWFPX68svFzzolbKHj2OOOaZY43H33XfHP//5z5gxY0Zcdtllcfzxx5f7UADkkC6jTZfT7rxz9/1pxMNltvSHaZfly5cXNxlLoeO1116LnXbaKU499dT40Y9+FEOGDFnv15t2Aein3OGUMp2/yx4+NpXwAQDVp0/XfAAAfBDhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACqO3yMGDEi6urq3rdNnDix3IcCAKrQ4HJ/w7lz50ZnZ+fq188//3wcccQRcdJJJ5X7UABAFSp7+Nhuu+26vb7kkkti1KhRccghh5T7UABAFSp7+FjTu+++GzfffHN8+9vfLqZeetLR0VFsXdrb2ytZJQCglheczpw5M954440466yz1lmmtbU1mpqaVm8tLS2VrBIA0MfqSqVSqVLf/KijjoohQ4bE73//+3WW6WnkIwWQtra2aGxsrFTVAIAySufvNIiwIefvik27vPzyy3H//ffH9OnTP7BcQ0NDsQEAA0PFpl2uv/762H777WPChAmVOgQAUIUqEj5WrlxZhI8zzzwzBg+u6JpWAKDKVCR8pOmWRYsWxTnnnFOJbw8AVLGKDEsceeSRUcF1rABAFfNsFwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDIanDewwEDVmdnxMMPRyxbFtHcHDF2bER9fV/XCqiVkY+lS5fGF7/4xdh2221j6NChsc8++8RTTz1ViUMB1WD69IgRIyLGjYs47bRVH9PrtB8YcMo+8vH666/HQQcdFOPGjYt77rkntttuu5g/f35svfXW5T4UUA1SwDjxxIhSqfv+pUtX7Z82LeKEE/qqdkAfqCuV1v6NsGnOP//8ePTRR+PhNLy6Edrb26OpqSna2tqisbGxnFUD+mKqJY1wLFnS8/t1dRHDhkUsXGgKBqpcb87fZZ92ufPOO+NTn/pUnHTSSbH99tvHxz/+8bjmmmvWWb6jo6Oo8JobUCPSHyHrCh5J+ttn8eJV5YABo+zh4x//+EdMnTo1dtttt5g1a1Z8/etfj29+85tx44039li+tbW1SEpdW0tLS7mrBPSVtLi0nOWAmlD2aZchQ4YUIx+PPfbY6n0pfMydOzcef/zxHkc+0tYljXykAGLaBWrA7NmrFpeuz5/+FHHooTlqBNTitEtzc3Psueee3fbtsccesWjRoh7LNzQ0FJVccwNqRLqcNq3pSGs7epL2p9HOVA4YMMoePtKVLi+++GK3fX//+99j+PDh5T4U0N+lRaRTpqz6fO0A0vX68sstNoUBpuzh41vf+lY88cQT8dOf/jQWLFgQt956a1x99dUxceLEch8KqAbpMtp0Oe3OO3ffn0ZEXGYLA1LZ13wkd911V0yePLm4v8fIkSPj29/+dnzlK1/ZoK91qS3UKHc4hZrW3ovzd0XCx6YQPgCg+vTpglMAgA8ifAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAdYePH//4x1FXV9dtGzNmTLkPAwBUqcGV+KZ77bVX3H///f87yOCKHAYAqEIVSQUpbOy4446V+NYAQJWryJqP+fPnx0477RS77rprnH766bFo0aJ1lu3o6Ij29vZuGwBQu8oePvbff/+44YYb4t57742pU6fGwoULY+zYsbF8+fIey7e2tkZTU9PqraWlpdxVAgD6kbpSqVSq5AHeeOONGD58eFx22WVx7rnn9jjykbYuaeQjBZC2trZobGysZNUAgDJJ5+80iLAh5++KrwTdaqutYvTo0bFgwYIe329oaCg2AGBgqPh9Pt5888146aWXorm5udKHAgAGYvj47ne/G3PmzIl//vOf8dhjj8Xxxx8f9fX1ceqpp5b7UABAFSr7tMuSJUuKoPGf//wntttuuzj44IPjiSeeKD4HACh7+LjtttvK/S0BgBri2S4AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkNXgvIeDTdDZGfHwwxHLlkU0N0eMHRtRX9/XtQKgv418XHLJJVFXVxeTJk2q9KGoZdOnR4wYETFuXMRpp636mF6n/QBUlYqGj7lz58ZVV10V++67byUPQ61LAePEEyOWLOm+f+nSVfsFEICqUrHw8eabb8bpp58e11xzTWy99daVOgwDYarlvPMiSqX3v9e1L42qpXIADOzwMXHixJgwYUKMHz/+A8t1dHREe3t7tw1WS2s81h7xWDuALF68qhwAA3fB6W233RbPPPNMMe2yPq2trXHhhRdWohrUgrS4tJzlAKi9kY/FixfHeeedF7fccktsvvnm6y0/efLkaGtrW72lr4fV0lUt5SwHQJ+rK5V6mkzfeDNnzozjjz8+6te4BLKzs7O44mXQoEHFNMua760tTbs0NTUVQaSxsbGcVaMapbUc6aqWtLi0px/VurqIYcMiFi502S1AH+rN+bvs0y6HH354zJs3r9u+s88+O8aMGRM/+MEPPjB4wPukn5cpU1Zd1ZKCxpoBJL1OLr9c8ACoImUPH1tuuWXsvffe3fZtscUWse22275vP2yQE06ImDZt1VUvay4+TSMeKXik9wGoGu5wSnVIAePYY93hFKAGZAkfs2fPznEYal0KGoce2te1AGATebAcAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAAWQkfAEBWwgcAkJXwAQBkJXwAAFkJHwBAVsIHAJCV8AEAZCV8AABZCR8AQFbCBwCQlfABAGQlfAAA1R0+pk6dGvvuu280NjYW2wEHHBD33HNPuQ8DAFSpsoePYcOGxSWXXBJPP/10PPXUU3HYYYfFscceGy+88EK5DwUAVKG6UqlUqvRBttlmm/jFL34R55577nrLtre3R1NTU7S1tRUjJwBA/9eb8/fgSlaks7Mz7rjjjlixYkUx/dKTjo6OYluz8gBA7arIgtN58+bFhz/84WhoaIivfe1rMWPGjNhzzz17LNva2lokpa6tpaWlElUCAGp52uXdd9+NRYsWFUMv06ZNi2uvvTbmzJnTYwDpaeQjBRDTLgBQm9MuWdZ8jB8/PkaNGhVXXXXVesta8wEA1ac35+8s9/lYuXJlt9ENAGDgKvuC08mTJ8fRRx8du+yySyxfvjxuvfXWmD17dsyaNavchwIAqlDZw8drr70WZ5xxRixbtqwYfkk3HEvB44gjjij3oQCAKlT28HHdddeV+1sCADXEs10AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAyEr4AACyEj4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AIKvBMVB0dkY8/HDEsmURzc0RY8dG1Nf3da0AYMAp+8hHa2trfPrTn44tt9wytt9++zjuuOPixRdfjD41fXrEiBER48ZFnHbaqo/pddoPAFR3+JgzZ05MnDgxnnjiibjvvvvivffeiyOPPDJWrFgRfSIFjBNPjFiypPv+pUtX7RdAACCrulKpVKrkAf79738XIyAplPzf//3fesu3t7dHU1NTtLW1RWNj46ZPtaQRjrWDR5e6uohhwyIWLjQFAwCboDfn74ovOE2VSLbZZpse3+/o6CgqvOZWNmmNx7qCR5Jy1+LFq8oBAFlUNHysXLkyJk2aFAcddFDsvffe61wjkpJS19bS0lK+CqTFpeUsBwD07/CR1n48//zzcdttt62zzOTJk4vRka5tcRqJKJd0VUs5ywEA/fdS22984xtx1113xUMPPRTD0rqKdWhoaCi2ikiX06Zjp8WlPS1t6VrzkcoBANU58pHWr6bgMWPGjHjwwQdj5MiR0WfSItIpU/4XNNbU9fryyy02BYBqDh9pquXmm2+OW2+9tbjXx6uvvlpsb7/9dvSJE06ImDYtYuedu+9PIx5pf3ofAKjeS23r1h5h+P+uv/76OOuss/JearsmdzgFgIrpzfm77Gs+KnzbkI2Xgsahh/Z1LQBgwPNgOQAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPAKA2nmq7qXdITbdpBQCqQ9d5e0PudN7vwsfy5cuLjy0tLX1dFQBgI87j6RkvWR8st6lWrlwZr7zySvFE3HU9pG5TUlkKNYsXLy7vQ+v6iVpv30Boo/ZVv1pvo/ZVv/YKtTHFiRQ8dtpppxg0aFB1jXykCg9Lj7uvoPQ/u1Z/qAZC+wZCG7Wv+tV6G7Wv+jVWoI3rG/HoYsEpAJCV8AEAZDWgwkdDQ0NccMEFxcdaVOvtGwht1L7qV+tt1L7q19AP2tjvFpwCALVtQI18AAB9T/gAALISPgCArIQPACCrmgkfDz30UBxzzDHFndXSnVFnzpy53q+ZPXt2fOITnyhW/H70ox+NG264IWqpjal9qdza26uvvhr9UWtra3z6058u7m67/fbbx3HHHRcvvvjier/ujjvuiDFjxsTmm28e++yzT/zhD3+IWmlf+plcu/9SO/ujqVOnxr777rv6xkUHHHBA3HPPPTXRdxvbxmrqv55ccsklRZ0nTZpUU/3Ym/ZVWx/++Mc/fl99U9/0t/6rmfCxYsWK2G+//eKKK67YoPILFy6MCRMmxLhx4+K5554rfvi+/OUvx6xZs6JW2tglneCWLVu2eksnvv5ozpw5MXHixHjiiSfivvvui/feey+OPPLIot3r8thjj8Wpp54a5557bjz77LPFCT1tzz//fNRC+5J0kluz/15++eXoj9KdidMv86effjqeeuqpOOyww+LYY4+NF154oer7bmPbWE39t7a5c+fGVVddVYStD1KN/dib9lVjH+61117d6vvII4/0v/4r1aDUrBkzZnxgme9///ulvfbaq9u+k08+uXTUUUeVaqWNf/rTn4pyr7/+eqkavfbaa0X958yZs84yX/jCF0oTJkzotm///fcvffWrXy3VQvuuv/76UlNTU6labb311qVrr7225vpuQ9tYrf23fPny0m677Va67777SoccckjpvPPOW2fZauzH3rSv2vrwggsuKO23334bXL6v+q9mRj566/HHH4/x48d323fUUUcV+2vNxz72sWhubo4jjjgiHn300agWbW1txcdtttmmJvtxQ9qXvPnmmzF8+PDiQVDr+yu7v+js7IzbbrutGNVJUxO11ncb2sZq7b80QpdGhtfun1rpx960rxr7cP78+cX0/K677hqnn356LFq0qN/1X797sFwuad3DDjvs0G1fep2e9vf222/H0KFDo9qlwHHllVfGpz71qejo6Ihrr702Dj300HjyySeLtS79WXq6cZoKO+igg2LvvffudT/213UtvW3f7rvvHr/97W+LoeEUVi699NI48MADi19+lX4A48aYN29ecSJ+55134sMf/nDMmDEj9txzz5rqu960sdr6L0mB6plnnimmJTZEtfVjb9tXbX24//77F+tUUr3TlMuFF14YY8eOLaZR0nqz/tJ/AzZ8DATphy9tXdI/mJdeeil++ctfxk033RT9WfrLJP1j+aC5ymq2oe1LJ7k1/6pOfbjHHnsUc9UXXXRR9Dfp5y2toUq/pKdNmxZnnnlmsdZlXSfnatSbNlZb/6VHrJ933nnFmqT+vKgyZ/uqrQ+PPvro1Z+nwJTCSBq1uf3224t1Hf3FgA0fO+64Y/zrX//qti+9TguLamHUY10+85nP9PsT+je+8Y246667iqt71veXxbr6Me2vhfatbbPNNouPf/zjsWDBguiPhgwZUlw5lnzyk58s/rqcMmVK8Yu6Fvqut22stv5LC2lfe+21biOjaXop/az++te/LkZQ6+vrq7YfN6Z91daHa9tqq61i9OjR66xvX/XfgF3zkZLsAw880G1fSsMfNHdbC9JfbGk6pj9K62jTiTkNYz/44IMxcuTImurHjWnf2tIvyjTs31/7sKfppfQLvdr7bmPbWG39d/jhhxf1S78nurY0bZvWDaTPezoxV1M/bkz7qq0Pe1qvkka811XfPuu/Uo1Iq5efffbZYkvNuuyyy4rPX3755eL9888/v/SlL31pdfl//OMfpQ996EOl733ve6W//vWvpSuuuKJUX19fuvfee0u10sZf/vKXpZkzZ5bmz59fmjdvXrGie9CgQaX777+/1B99/etfL1aVz549u7Rs2bLV21tvvbW6TGpfameXRx99tDR48ODSpZdeWvRjWum92WabFe2thfZdeOGFpVmzZpVeeuml0tNPP1065ZRTSptvvnnphRdeKPU3qd7pyp2FCxeW/vKXvxSv6+rqSn/84x+rvu82to3V1H/rsvbVILXQj71pX7X14Xe+853id0z6GU19M378+NJHPvKR4uq6/tR/NRM+ui4rXXs788wzi/fTx/RDtvbXfOxjHysNGTKktOuuuxaXVNVSG3/2s5+VRo0aVfxD2WabbUqHHnpo6cEHHyz1Vz21LW1r9ktqX1d7u9x+++2l0aNHF/2YLp++++67S7XSvkmTJpV22WWXom077LBD6bOf/WzpmWeeKfVH55xzTmn48OFFXbfbbrvS4YcfvvqkXO19t7FtrKb+29CTcy30Y2/aV219ePLJJ5eam5uL+u68887F6wULFvS7/qtL/6ns2AoAwP8M2DUfAEDfED4AgKyEDwAgK+EDAMhK+AAAshI+AICshA8AICvhAwDISvgAALISPgCArIQPACAr4QMAiJz+H29uD6riFRl+AAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:09:37.880090Z",
     "start_time": "2025-01-06T13:09:37.810195Z"
    }
   },
   "cell_type": "code",
   "source": [
    "categories = ['A', 'B', 'C', 'D', 'E']\n",
    "values = [10, 20, 30, 40, 50]\n",
    "\n",
    "plt.bar(categories, values)\n",
    "plt.show()"
   ],
   "id": "5c488735d3f68bd1",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:12:21.375518Z",
     "start_time": "2025-01-06T13:12:21.323511Z"
    }
   },
   "cell_type": "code",
   "source": [
    "labels = ['A', 'B', 'C', 'D', 'E']\n",
    "values = [10, 20, 30, 40, 50]\n",
    "\n",
    "plt.pie(values, labels=labels, autopct='%1.1f%%', shadow=True)\n",
    "plt.show()"
   ],
   "id": "cc021220343c0633",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 10
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:42:57.371990Z",
     "start_time": "2025-01-06T13:42:57.368961Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import time\n"
   ],
   "id": "1ea925f8a7ccd2de",
   "outputs": [],
   "execution_count": 11
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:44:45.435048Z",
     "start_time": "2025-01-06T13:44:44.895446Z"
    }
   },
   "cell_type": "code",
   "source": [
    "size = 10**7\n",
    "\n",
    "start_time = time.time()\n",
    "py_list = [i for i in range(size)]\n",
    "end_time = time.time()\n",
    "print(f\"原生python列表创建时间：{end_time - start_time:.6f} s\")"
   ],
   "id": "39a359eb78fc6cdb",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "原生python列表创建时间：0.535100 s\n"
     ]
    }
   ],
   "execution_count": 12
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:45:02.471736Z",
     "start_time": "2025-01-06T13:45:02.450208Z"
    }
   },
   "cell_type": "code",
   "source": [
    "start_time = time.time()\n",
    "np_array = np.arange(size)\n",
    "end_time = time.time()\n",
    "print(f\"numpy数组创建时间：{end_time - start_time:.6f} s\")"
   ],
   "id": "b300edb62eb78444",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "numpy数组创建时间：0.017293 s\n"
     ]
    }
   ],
   "execution_count": 13
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:47:50.731086Z",
     "start_time": "2025-01-06T13:47:50.726092Z"
    }
   },
   "cell_type": "code",
   "source": [
    "array1 = np.array([1, 2, 3, 4, 5])\n",
    "print(array1)\n",
    "\n",
    "array2 = np.array([[1, 2, 3], [4, 5, 6]])\n",
    "print(array2)"
   ],
   "id": "59387afb2b020960",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1 2 3 4 5]\n",
      "[[1 2 3]\n",
      " [4 5 6]]\n"
     ]
    }
   ],
   "execution_count": 14
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:49:36.385577Z",
     "start_time": "2025-01-06T13:49:36.380186Z"
    }
   },
   "cell_type": "code",
   "source": [
    "print(array1.shape) #数组形状\n",
    "print(array2.shape) \n",
    "print(array1.dtype) #数组元素类型\n",
    "print(array2.size) #数组元素个数\n",
    "print(array2.ndim) #数组维度\n",
    "print(array2.itemsize) #数组每个元素的字节数"
   ],
   "id": "79fa119c4081928b",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5,)\n",
      "(2, 3)\n",
      "int64\n",
      "6\n",
      "2\n",
      "8\n"
     ]
    }
   ],
   "execution_count": 15
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:50:51.474115Z",
     "start_time": "2025-01-06T13:50:51.469677Z"
    }
   },
   "cell_type": "code",
   "source": [
    "print(array2[0, 1])\n",
    "print(array2[1, :])\n",
    "print(array2[:, 2])"
   ],
   "id": "26cdeda8c7980731",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "[4 5 6]\n",
      "[3 6]\n"
     ]
    }
   ],
   "execution_count": 16
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:52:51.328427Z",
     "start_time": "2025-01-06T13:52:51.324279Z"
    }
   },
   "cell_type": "code",
   "source": [
    "array3 = np.array([[1, 2, 3],[4, 5, 6]])\n",
    "array4 = array3+array2\n",
    "print(array4)"
   ],
   "id": "65f0043b0b9a90fd",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 2  4  6]\n",
      " [ 8 10 12]]\n"
     ]
    }
   ],
   "execution_count": 20
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:53:21.626026Z",
     "start_time": "2025-01-06T13:53:21.621833Z"
    }
   },
   "cell_type": "code",
   "source": "print(array4.T)",
   "id": "9b17c36c6ef6e52c",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 2  8]\n",
      " [ 4 10]\n",
      " [ 6 12]]\n"
     ]
    }
   ],
   "execution_count": 21
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:53:53.726319Z",
     "start_time": "2025-01-06T13:53:53.721789Z"
    }
   },
   "cell_type": "code",
   "source": [
    "array5 = array3*array2\n",
    "print(array5)"
   ],
   "id": "6ebf44e18e8eea7c",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1  4  9]\n",
      " [16 25 36]]\n"
     ]
    }
   ],
   "execution_count": 23
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:54:46.742438Z",
     "start_time": "2025-01-06T13:54:46.737486Z"
    }
   },
   "cell_type": "code",
   "source": [
    "array6 = array4.reshape(3, 2)\n",
    "print(array6)"
   ],
   "id": "e4e1ec540a2b1e28",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 2  4]\n",
      " [ 6  8]\n",
      " [10 12]]\n"
     ]
    }
   ],
   "execution_count": 24
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:55:31.369679Z",
     "start_time": "2025-01-06T13:55:31.364721Z"
    }
   },
   "cell_type": "code",
   "source": [
    "list1 = [1, 2, 3, 4, 5]\n",
    "array7 = np.array(list1)\n",
    "print(array7)"
   ],
   "id": "5efed6918429a5fe",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1 2 3 4 5]\n"
     ]
    }
   ],
   "execution_count": 25
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-06T13:56:33.914431Z",
     "start_time": "2025-01-06T13:56:33.910230Z"
    }
   },
   "cell_type": "code",
   "source": [
    "array8 = array7.tolist()\n",
    "print(array8)"
   ],
   "id": "a9f559eab55fad82",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 4, 5]\n"
     ]
    }
   ],
   "execution_count": 26
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "79dc2c87bee0ec9"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
